using System;
using static System.Console;
using System.Linq;
using System.Collections.Generic;

class Program
{
    static long NN => long.Parse(ReadLine());
    static long[] NList => ReadLine().Split().Select(long.Parse).ToArray();
    static void Main()
    {
        Solve();
    }
    static void Solve()
    {
        var t = NN;
        var res = new long[t];
        for (var u = 0; u < t; ++u)
        {
            var c = NList;
            if (c[0] > 0 && c[2] > 0)
            {
                var eat = Math.Min(c[0], c[2]);
                res[u] += eat * 2;
                c[0] -= eat;
                c[2] -= eat;
            }
            if (c[2] > 1)
            {
                var eat = c[2] / 2;
                res[u] += eat;
                c[2] -= eat * 2;
            }
            if (c[1] > 0)
            {
                var eat = c[1] / 2;
                res[u] += eat * 2;
                c[1] -= eat * 2;
            }
            if (c[0] > 0 && c[1] > 0)
            {
                ++res[u];
            }
        }
        WriteLine(string.Join("\n", res));
    }
}